Evaluate 2 3/8+1 1/4

$2 \frac{3}{8} + 1 \frac{1}{4}$

Step 1

Convert $2 \frac{3}{8}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$2 + \frac{3}{8} + 1 \frac{1}{4}$

Add $2$ and $\frac{3}{8}$ .

To write $2$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$2 \cdot \frac{8}{8} + \frac{3}{8} + 1 \frac{1}{4}$

Combine $2$ and $\frac{8}{8}$ .

$\frac{2 \cdot 8}{8} + \frac{3}{8} + 1 \frac{1}{4}$

Combine the numerators over the common denominator.

$\frac{2 \cdot 8 + 3}{8} + 1 \frac{1}{4}$

Simplify the numerator.

Multiply $2$ by $8$ .

$\frac{16 + 3}{8} + 1 \frac{1}{4}$

Add $16$ and $3$ .

$\frac{19}{8} + 1 \frac{1}{4}$

Step 2

Convert $1 \frac{1}{4}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$\frac{19}{8} + 1 + \frac{1}{4}$

Add $1$ and $\frac{1}{4}$ .

Write $1$ as a fraction with a common denominator.

$\frac{19}{8} + \frac{4}{4} + \frac{1}{4}$

Combine the numerators over the common denominator.

$\frac{19}{8} + \frac{4 + 1}{4}$

Add $4$ and $1$ .

$\frac{19}{8} + \frac{5}{4}$

Step 3

To write $\frac{5}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{19}{8} + \frac{5}{4} \cdot \frac{2}{2}$

Step 4

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{5}{4}$ by $\frac{2}{2}$ .

$\frac{19}{8} + \frac{5 \cdot 2}{4 \cdot 2}$

Multiply $4$ by $2$ .

$\frac{19}{8} + \frac{5 \cdot 2}{8}$

Step 5

Combine the numerators over the common denominator.

$\frac{19 + 5 \cdot 2}{8}$

Step 6

Simplify the numerator.

Multiply $5$ by $2$ .

$\frac{19 + 10}{8}$

Add $19$ and $10$ .

$\frac{29}{8}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{8}$

Decimal Form:

$3.625$

Mixed Number Form:

$3 \frac{5}{8}$

Evaluate 2 3/8+1 1/4

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